Fred purchased a cone filled with cinnamon pieces. The cone is 7 inches tall and has a diameter of 2. How many cubic inches does the cone hold? Leave your answer in terms of pi

Respuesta :

Answer:

V = 9.33 π m³

Step-by-step explanation:

Given: The cone is 7 inches tall and has a diameter of 2

To find: How many cubic inches the cone can hold

Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3} h\pi r[/tex]².

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume you need to multiply the base area

(area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex]:

volume = ([tex]\frac{1}{3}[/tex]) × π × r² × h.

In terms of pi V = 9.33 π m³

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